is 2 928427 - 1
has 279485 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L44012F8BA4516A3Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26732.004670.1493 %100000005000000001.290310.5798 %33.294973.3074 %
Target2440.000054.5455 %1500030000000.006218.0472 %0.006262.7487 %
Difference+23+32.0046+15.6038 %+9985000+497000000+1.2841-7.4673 %+33.2887+10.5587 %

Known prime factors (1 factor, 83.3 bits, 0.00897366% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
928427120223687970868819397296412683.3146474590246237389660
22 × 5 × 17 × 18679 × 1019482439581
2015-07-211867910194824395812,566,6481,953.13,647.8

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.200%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.125%
2002-04-28ANONYMOUSv4_computers8192819200--0.00217.924%
2002-05-18ANONYMOUSv4_computers163841638400--0.00420.686%
2002-07-20ANONYMOUSv4_computers32768327680012--0.00723.402%
2002-12-31ANONYMOUSv4_computers65536655360012--0.01526.067%
2003-08-31ANONYMOUSv4_computers1310721310720012--0.02928.673%
2011-06-02JossManual testing200000200000--0.00715.588%
2011-07-13JossManual testing219482219482--0.00815.878%
2011-10-22JossManual testing731607731607--0.02619.626%
2013-10-11David Campeaui5-2500k9650002509000012--0.08031.795%
2014-01-12alpertronManual testing1000000050000000012--1.29041.331%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-26ANONYMOUSv4_computers212550.005
2000-12-14ANONYMOUSv4_computers212560.010
2001-10-13ANONYMOUSv4_computers212570.021
2003-08-31ANONYMOUSv4_computers212580.041
2022-03-07LordJuliusManual testing258260
2010-05-18Architects Cubeda3_bu22602610.165
2014-08-25lycornsnail2612620.331


ECM factoring results:
Total ECM effort:13.994 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001694.635
5000050000001123.157
25000025000000446.202


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-08ANONYMOUSv4_computers44012F8BA4516A3A0.023
2015-04-11MadPooManual testing44012F8BA4516A3A0.023


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
12022368797086881939729641
45F85441C0E2FE28
2017-10-14Oliver KruseThreadripper-PC
12022368797086881939729641
45F85441C0E2FE28
2017-12-22ATHec2-1xh
12022368797086881939729641
45F85441C0E2FE28
2020-04-23Oliver KruseAddPrpType5
12022368797086881939729641
31396BBDBD873BC8


CERT results:
No CERT results for M928427


P-1 factor-bounds graph:
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 965000, B2 = 25090000 (P-1 stage 2)
B1 = 965000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 731607 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 219482 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
262
261
260
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00